If the wages of workers for a given company are normally distributed with a mean of $15 per hour,then the proportion of the workers earning more than $13 per hour:
A)Is greater than the proportion earning less than $13 per hour.
B)Is greater than the proportion earning less than $18 per hour.
C)Is less than 50%.
D)Is less than the proportion earning more than the mean wage.

Question

Quizplus · Accepted Answer

Since the wage distribution is normal with mean $15 per hour, we can assume that it is symmetric about the mean. Therefore, the proportion of workers earning more than $13 per hour is equal to the proportion of workers earning less than $17 per hour (since the distribution is continuous). Since $17 is closer to the mean of $15 than $13 is, the proportion of workers earning more than $13 per hour is greater than the proportion earning less than $13 per hour. Therefore, choice A is true. The other options are not necessarily true based on the information given.

If the Wages of Workers for a Given Company Are